x is the first term and d is the difference then x + 3d = 15 and sum of first five terms is
x + (x+d) + (x+2d) + (x+3d) + (x+4d)
so 5x + 10d = 55 ie x + 2d = 11
As x + 3d = 15, d = 4 and x = 3,
giving the five terms as 3, 7, 11, 15 and 19
6
An arithmetic sequence.
arithmetic sequence
14112027
The sum of the first 12 terms of an arithmetic sequence is: sum = (n/2)(2a + (n - 1)d) = (12/2)(2a + (12 - 1)d) = 6(2a + 11d) = 12a + 66d where a is the first term and d is the common difference.
the first and fourth terms of a proportion are called the means ?
It is the "common difference".It is the "common difference".It is the "common difference".It is the "common difference".
What is the difference between Invoice & Bill, in common terms. What is the difference between Invoice & Bill, in common terms.
Actually, the terms located in the middle of a proportion are called the means. The first and fourth terms are the extremes.
To find the first three terms of an arithmetic sequence with a common difference of -5, we first need the last term. If we denote the last term as ( L ), the terms can be expressed as ( L + 10 ), ( L + 5 ), and ( L ) for the first three terms, since each term is derived by adding the common difference (-5) to the previous term. Thus, the first three terms would be ( L + 10 ), ( L + 5 ), and ( L ).
The difference between succeeding terms in a sequence is called the common difference in an arithmetic sequence, and the common ratio in a geometric sequence.
To find the sum of the first 20 terms of an arithmetic progression (AP), we need to first determine the common difference (d) between the terms. Given that the 6th term is 35 and the 13th term is 70, we can calculate d by subtracting the 6th term from the 13th term and dividing by the number of terms between them: (70 - 35) / (13 - 6) = 5. The formula to find the sum of the first n terms of an AP is Sn = n/2 [2a + (n-1)d], where a is the first term. Plugging in the values for a (the 1st term), d (common difference), and n (20 terms), we can calculate the sum of the first 20 terms.
6
29
-8
An arithmetic sequence.
If the terms get bigger as you go along, the common difference is positive. If they get smaller, the common difference is negative and if they stay the same then the common difference is 0.